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Finding the Fourth Proportional to 86.87, 131.02 and 83.13

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Solution

The fourth proportional to 86.87, 131.02 and 83.13 is: 125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.87 : 131.02 = 83.13 : x
  2. Step 2: Convert to fraction form
    86.87/131.02 = 83.13/x
  3. Step 3: Cross multiply
    86.87x = 131.02 × 83.13
  4. Step 4: Simplify right side
    86.87x = 10,890.99
  5. Step 5: Solve for x
    x = 10,890.99/86.87
  6. Step 6: Final answer
    x = 125.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.